Answer:
Look at the attached image.
Step-by-step explanation:
To graph this, you need to find where the expression in between the absolute value sign is negative.
x-1 is zero when x=1 and negative when x > 1.
So the corner will be at x = 1
When x is greater than 1 you need to graph:
f(x) = -(x-1) + 2
f(x) = -x + 1 + 2
f(x) = -x + 3
When x is greater than 1 you need to graph:
f(x) = (x-1) + 2
f(x) = x - 1 + 2
f(x) = x - 1
I attached an image showing what the graph would look like.
